Question

rotational symmetry does the figure have rotational symmetry? if so, state the degree measure of the angle of rotation.

Explanation:

Step1: Recall rotational - symmetry concept

A figure has rotational symmetry if it can be rotated by an angle less than 360° and still look the same.

Step2: Analyze an equilateral triangle

An equilateral triangle has rotational symmetry. The order of rotational symmetry of an equilateral triangle is 3. The formula to find the angle of rotation $\theta=\frac{360^{\circ}}{n}$, where $n$ is the order of rotational symmetry. For an equilateral triangle, $n = 3$. So, $\theta=\frac{360^{\circ}}{3}=120^{\circ}$.

Answer:

Yes, 120°